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kenny6666 [7]
2 years ago
10

The points given in the table above lie on a line. Find the slope of the line.

Mathematics
1 answer:
pantera1 [17]2 years ago
7 0

Answer:

Step-by-step explanation:

When given points, whether that be on a graph or a table, those can be used to find the slope using the equation y2 - y1 / x2 - x1.

y2 - y1 / x2 - x1

(Pick 2 pairs if points. In this case I am using (2, -1) and (-1, 3) from your data table. From here, just plug it in.

-1 - 3 / 2 + 1

-4 / 3

Your slope is -4/3. Hope that helps! Take care.

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Which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?
avanturin [10]

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Step-by-step explanation:

We need to identify which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

Rules for transformation:

Horizontal shift: depends on the value h

if g(x)=f(x+h) then: the graph is shifted left h units

if g(x)=f(x-h) then: the graph is shifted right h units

Vertical Shift: depends on the value k

if g(x)=f(x)+k then: the graph is shifted up k units

if g(x)=f(x)-k then: the graph is shifted down k units

Reflection:

if g(x)=-f(x) then graph is reflected at x-axis

if g(x)=f(-x) then graph is reflected at y-axis

Vertical Stretch:

if g(x)=c.f(x) then graph is vertically stretched.

In the given question:

f(x)= x^2

g(x)=-3(x+1)^2-4

Applying the above rules of transformation:

The graph is:

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Keywords: Transformations

Learn more about Transformations at:

  • brainly.com/question/2415963
  • brainly.com/question/3779181
  • brainly.com/question/5563823
  • brainly.com/question/9381523

#learnwithBrainly

7 0
3 years ago
Simplify (7^6)^2 .....................................
marysya [2.9K]

Answer:

13,841,287,201

Step-by-step explanation:

simply the parenthesis:

7^6 or 7 times itself 6 times: 7x7x7x7x7x7

which equals 117,649 and then multiply that number by itself

117,649x117,649 and you should get 13,841,287,201

5 0
3 years ago
Use the quadratic formula to find the solutions to the equation x^2-3x+1=0
Gnom [1K]

Answer:

x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}

Step-by-step explanation:

Using:

x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}

we will have two solutions.

x^2-3x+1=0

So, a=1   b=-3  c=1

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We have two solutions:

x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}

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What is 10* 3.8 exponent of 6 in scientific notation
Tju [1.3M]
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</span>

hope this helps

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egoroff_w [7]

Answer: y=-3x+17

b = 17

4 0
3 years ago
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